Annuities (MAT 142) Annuities.

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Presentation transcript:

Annuities (MAT 142) Annuities

Objectives Calculate the future value of an ordinary annuity. Annuities (MAT 142) Objectives Calculate the future value of an ordinary annuity. Calculate the amount of interest earned in an ordinary annuity. Calculate the total contributions to an ordinary annuity. Calculate monthly payments that will produce a given future value.

Vocabulary ordinary annuity simple annuity Christmas club Annuities (MAT 142) Vocabulary ordinary annuity simple annuity Christmas club tax-deferred annuity sinking fund present value of an annuity

Formulas Ordinary Annuity Formula Interest Earned on an Annuity Annuities (MAT 142) Formulas Ordinary Annuity Formula Interest Earned on an Annuity Present Value of an Annuity Formula

Annuities (MAT 142) Find the future value of an ordinary annuity with $150 monthly payments at 6¼% annual interest for 12 years.

the future value of the account Annuities (MAT 142) On March 19, Rachael Westlake joined a Christmas club. Her bank will automatically deduct $110 from her checking account at the end of each month, and deposit it into her Christmas club account, where it will earn annual interest. The account comes to term on December 1. Find the following: the future value of the account Rachael’s total contribution to the account. the total interest

Annuities (MAT 142) Art Dull recently set up a tax-deferred annuity to save for his retirement. He arranged to have $50 taken out of each of his biweekly checks; it will earn annual interest. He just had his thirtieth birthday, and his ordinary annuity comes to term when he is sixty-five. Find the following: the future value of the account Art’s total contribution to the account. the total interest

Annuities (MAT 142) Susan and Bill Stamp want to set up a TDA that will generate sufficient interest at maturity to meet their living expenses, which they project to be $1,200 per month. Find the amount needed at maturity to generate $1200 per month interest if they can get 7 ¼ % annual interest compounded monthly. Find the monthly payment they would have to put into an ordinary annuity to obtain the future value found in part a if their money earns 9 ¾ % annual interest and the term is 25 years.